AB: required BC: required

MB: required ON: required

Teacher Resource 6.1 Unit 2 Number Sense pp. C-9–12

New Canadian Edition

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NS6-2

Representation in Expanded Form

Students will:

• represent numbers in expanded form.

AP Book 6.1 pp. 24–25

See p. C-9 for details.

43 = 40 + 3

How much is each digit worth?

43

We can write any number as a sum of the actual value of its digits.

This is called the expanded form.

Exercises:

Write the number in expanded form.

a) 52

b) 81

See p. C-9 for details.

70 =

What if one of the digits is a zero?

Exercises:

Write the number in expanded form.

a) 345 782 194

See p. C-10 for details.

We can also write expanded form using place value words:

4589 =

See p. C-10 for details.

Write the expanded form using place value words.

Hint: What if a number includes zeros?

30 061 =

Exercises:

Write the number given the expanded form, or sum.

a) 30 + 7

b) 300 + 50 + 7

See pp. C-10–11 for details.

What is 500 + 7?

For this reason, mathematicians call zero a placeholder.

a) 200 + ______ + 3 = 253

b) 50 000 + ______ + 20 = 54 020

Bonus: 4327 = 300 + 7 + ______ + 4000

2. Fill in the blank.

See p. C-11 for details.

234

4121

For each number, find the sum of the digits.

Which digit is twice the ones digit in ...

See p. C-11 for details.

45 621?

Have students use cards to signal their answers.

432?